# Prime factorization of $3665$

The calculator will find the prime factorization of $3665$, with steps shown.

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Find the prime factorization of $3665$.

### Solution

Start with the number $2$.

Determine whether $3665$ is divisible by $2$.

Since it is not divisible, move to the next prime number.

The next prime number is $3$.

Determine whether $3665$ is divisible by $3$.

Since it is not divisible, move to the next prime number.

The next prime number is $5$.

Determine whether $3665$ is divisible by $5$.

It is divisible, thus, divide $3665$ by ${\color{green}5}$: $\frac{3665}{5} = {\color{red}733}$.

The prime number ${\color{green}733}$ has no other factors then $1$ and ${\color{green}733}$: $\frac{733}{733} = {\color{red}1}$.

Since we have obtained $1$, we are done.

Now, just count the number of occurences of the divisors (green numbers), and write down the prime factorization: $3665 = 5 \cdot 733$.

The prime factorization is $3665 = 5 \cdot 733$A.